Mathematics, 25.02.2020 00:39, Pbaer4861

ACME manufacturing company has developed a fuel-efficient machine that combines pressure washing with steam cleaning. It is advertised as delivering 5 gallons of cleaner per minute. HOWEVER, a machine delivers an amount at random anywhere between 4.95 and 5.15 gallons per minute. Assume that Y, the amount of cleaner dispensed per minute, is a uniform random variable with probability density function [p. d.f.], f(y), given below. { 5 4.95 <= y <= 5.15f(y) = { { 0 otherwise(a) Find the probability that Y, the amount of cleaner dispensed per minute, is greater than 5 gallons per minute.(b) Find the expected value of Y, E(Y).(c) Find the variance value of Y, VAR(Y).

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ACME manufacturing company has developed a fuel-efficient machine that combines pressure washing wit...